Texas Instruments TI-89 - Push_Sin2

832
Appendix A: System Routines — Math
TI
-
89 / TI
-
92 Plus Developer Guide
Not for Distribution
Beta Version January 26, 2001
push_sin2
Declaration:
void
push_sin2
(EStackIndex
i
, EStackIndex
j
)
Category(ies):
Math
Description:
Pushes onto the estack sine (expression
i
+ (expression
j
)
† p
/2).
sin (z) == sin2 (z, 0)
cos (z) == sin2 (z, 1)
The second argument saves code space by unifying rules for sine and
cosine, while making the “constant multiple of
p
” term efficiently accessible.
When
i
indexes a square numeric matrix, pushes the Float matrix sin2
computed via sin2(eigenvalues(
i
),
j
).
Example: If
i
indexes 0 and
j
indexes 1/3, pushes 1/2.
Inputs:
i
— Indexes the top tag of an internally-simplified algebraic expression,
algebraic comparison, or aggregate thereof, with angles measured
in radians.
j
— Indexes a number denoting a multiple of
p
/2.
Outputs:
None
Assumptions:
None
Side Effects:
None
Availability:
On AMS 2.02 and higher.
TI
-
89 / TI
-
92 Plus
Differences:
None
See Also: push_sin2, push_cos, push_tan, push_trig
Example:
push_quantum_as_nonnegative_int (0u);
i = top_estack;
push_reciprocal_of_quantum (3u);
push_sin2 (i, top_estack); /* Pushes fraction 1/2 */